C (0), F (3/5), G (1), and 0.02, are all valid probabilities.
A probability is a number that is between 0 and 1, inclusive.
As a result, the values that cannot be probabilities are those that are either less than 0 or greater than 1.
Here are the values from the list that are not probabilities:
Option A: -0.56 - Not a probability
Option B: 5/3 - Not a probability
Option D: 1.58 - Not a probability
Option E: √2 - Not a probability
Option H: 0.0 - Not a probability
Therefore, the values that cannot be probabilities are A (-0.56), B (5/3), D (1.58), E (√2), and H (0.0).
The other values, namely C (0), F (3/5), G (1), and 0.02, are all valid probabilities.
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In a class of 34 students,19 of them are girls.
What percentage of the class are girls?
Give your answer to 1 decimal place
Answer:
55.9%
Step-by-step explanation:
To find the percentage of girls in the class, we can use the following formula:
Percentage = (Number of girls / Total number of students) * 100
Number of girls = 19
Total number of students = 34
Percentage = (19 / 34) * 100
= 55.88235 % ≈ 55.9 % ( rounded off to one decimal place)
Suppose you need to borrow $4,000 to take a vacation trip to Bangkok. The bank offers a 24-month instalment blan with an interest rate of 8% ver vear. How much would vour monthly payment be?
The monthly payment for the 24-month installment plan to borrow $4,000 with an interest rate of 8% per year is approximately $176.65.
To calculate the monthly payment for the 24-month installment plan, we need to use the formula for calculating the monthly payment on a loan. The formula is:
M = P * (r * (1+r)ⁿ) / ((1+r)ⁿ⁻¹)
Where:
M is the monthly payment
P is the principal amount (in this case, $4,000)
r is the monthly interest rate (8% per year = 0.08/12 = 0.0067 per month)
n is the total number of payments (24)
Plugging in these values into the formula, we get:
M = 4000 * (0.0067 * (1+0.0067)²⁴) / ((1+0.0067)²⁴⁻¹)
Simplifying the equation, we find that the monthly payment will be approximately $176.65.
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The shape of a data-flow (DFD) diagramming process is a(n): A. rectangle. B. arrow. C. rounded rectangle. D. square. E. open box.
The shape of a data flow diagramming process is a open box.
Given nothing and we have to tell the shape of a data flow diagramming process.
A data flow diagram expresses the flow of information for any process or system. It uses symbols like rectangles, circles and arrows to show data inputs, outputs, storage points and the routes between each destination.
In this diagram the information is presented in rectangles and circles which are then joined through arrows.
It can present a process of coordination between departments.
Because there is no shape in which these rectangles , circles and arrows are present. That's why we have said that it is a open box.
Hence the shape of a data flow diagramming process is a open box.
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2x - 2y = 6 3x + 2y = 9 Solve the system of equations. A) x = 0, y = 3 B) x = 3, y = 0 C) x = 1, y = -2 D) x = -2, y = 1 E) x = 6, y = 3
There are 2 ways to solve this system: by elimination or by graphing. I will solve it by elimination. First will solve for x.
\(2x - 2y = 6\\3x + 2y = 9\\\\5x = 15\\\\x = 3\\\)
Now we will solve for y using what we got for x.
\(2(3) - 2y = 6\\\\6 - 2y = 6\\\\-2y = 0\\\\y = 0\)
Solution:
A: \((0, 3)\)
Put the following equation of a line into slope-intercept form, simplifying all the fractions
9y−3x=−54
Answer: y=1/3x-6
9y−3x=−54
9y=3x-54
y=1/3x-6
divide 101011 from 1101 in binary
Answer:
11
Step-by-step explanation:
\(101011_{2 = } 43_{10} \\ 1101_{2} = 13_{10} \\ \frac{43}{13} =3.3076923076923 \\ 3.3076923076923_{10} = 11_{2}\)
Please help me solve
Answer:
I could but can you please put down the problem.
Step-by-step explanation:
Help please:) and thx
Answer:
yes
Step-by-step explanation:
how to find eigenvalues and eigenvectors of a 2x2 matrix
To find the eigenvalues and eigenvectors of a 2x2 matrix, follow these steps:
Calculate the characteristic equation by subtracting the identity matrix I multiplied by the scalar λ from matrix A, and set the determinant of this resulting matrix equal to zero. The characteristic equation is given by det(A - λI) = 0.Solve the characteristic equation to find the eigenvalues (λ).
Let's assume we have a 2x2 matrix A:
| a b |
A = | c d |
To find the eigenvalues, we need to calculate the characteristic equation:
det(A - λI) = 0,
where I is the 2x2 identity matrix and λ is the eigenvalue.
A - λI = | a-λ b |
| c d-λ |
The determinant of this matrix is:
(a-λ)(d-λ) - bc = 0,
which simplifies to:
λ² - (a+d)λ + (ad - bc) = 0.
This quadratic equation gives us the eigenvalues.
Solve the quadratic equation to find the values of λ. The solutions will be the eigenvalues.
Once you have the eigenvalues, substitute each value back into the equation (A - λI)v = 0 and solve for v to find the corresponding eigenvectors.
For each eigenvalue, set up the homogeneous system of equations:
(A - λI)v = 0,
where v is the eigenvector.
Solve this system of equations to find the eigenvectors corresponding to each eigenvalue.
To find the eigenvalues and eigenvectors of a 2x2 matrix, follow the steps mentioned above. The characteristic equation gives the eigenvalues, and by solving the corresponding homogeneous system of equations, you can determine the eigenvectors.
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Dave can bike his exercise route an hour and half faster than he can walk it. his biking speed is 9 mph faster than his walking speed. if his route is 6 miles long an equation that can be used to find his walking speed. what is dabbed walking speed.
walking = biking + 1.5 hour
biking speed = 9 mph + walking speed
route = 6 miles
6/w = 6/(w + 9) - 3/2
Solving for w:
108 = -3w^2 - 27w ==> 3w^2 + 27w + 108 = 0 ==> x^2 + 9x + 36 = 0
PLEASE HELP
The relationship between altitude and the boiling point of a liquid is linear. At an altitude of 8100 ft, the liquid boils at 197.04°F. At an altitude of 4500 ft, the liquid boils at 202.8°F. Write an equation giving the boiling point b of the liquid, in degrees Fahrenheit, in terms of altitude a, in feet. What is the boiling point of the liquid at 2300 ft?
Write an equation.
b= ??
The equation giving the boiling point b of the liquid, in degrees Fahrenheit, in terms of altitude a, in feet is b = -0.0016a + 210
The boiling point of the liquid at 2300 ft is 206.32°F
How to determine the equation giving the boiling point b of the liquidFrom the question, we have the following parameters that can be used in our computation:
At an altitude of 8100 ft, the liquid boils at 197.04°F. At an altitude of 4500 ft, the liquid boils at 202.8°FThese parameters mean that
(a, b) = (8100, 197.04) and (4500, 202.8)
The relationship is a linear equation
So, we have
slope = (b2 - b1)/(a2 - a1)
Substitute the known values in the above equation, so, we have the following representation
slope = (202.8 - 197.04)/(4500 - 8100)
Evaluate
slope = -0.0016
The equation is then represented as
b = slope * a + c
Using one of the points, we have
197.04 = -0.0016 * 8100 + c
So, we have
197.04 = -12.96 + c
Evaluate
c = 210
This gives
b = -0.0016a + 210
What is the boiling point of the liquid at 2300 ft?This means that
a = 2300
So, we have
b = -0.0016 * 2300 + 210
Evaluate
b = 206.32
Hence, the boiling point is 206.32°F
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rights answers only:)
The measure of angle 6 is 38°.
What are vertically opposite angles?
Vertically opposite angles are pairs of angles formed by two intersecting lines that are opposite to each other and share the same vertex but are not adjacent angles.
When two lines intersect, they form four angles at the intersection point. The vertical opposite angles are the pairs of angles that are opposite to each other and are not adjacent angles.
We know that, if two lies are parallel and a transversal cuts the lines.
then, the angle formed are corresponding angles ad the vertically opposite angles formed will be equal.
similarly, In the give figure,
we ca see that angle 6 ad angle 38 are vertically opposites angle.
so, angle 6 = 38°
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a particle moves according to a law of motion s = f(t), t ≥ 0, where t is measured in seconds and s in feet. f(t) = 0.01t4 − 0.02t3 (a) find the velocity at time t (in ft/s).
If a particle moves according to a law of motion, s= f(t)= \(0.01t^{4}-0.02t^{3}\) where t is measured in seconds and s in feet, then the velocity at time t, v(t)=\(0.04t^{3}-0.06t^{2}\)
The law of motion refers to Sir Isaac Newton's three laws of motion. These laws are basic laws that describe how objects move when they are pushed or pulled. Velocity refers to how fast an object is moving in a specific direction.
To find the velocity at time t, follow these steps:
Since velocity is a physical quantity that indicates the rate at which an object changes position, we must first differentiate the equation s= f(t)= \(0.01t^{4}-0.02t^{3}\) with respect to time. Differentiating both sides with respect to time t gives \(\frac{ds}{dt}=4*0.01t^{4-1} -3*0.02t^{3-1}\\ \frac{ds}{dt}=0.04t^{3} -0.06t^{2}\)Hence, the velocity at time t is \(0.04t^{3} -0.06t^{2}\)
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Q1. A heavy general purpose truck costs $12,000 has a life of six years with a $2,000 SV. using the
MACRS with a GDS recovery period of five years. What is the BV of the equipment at the end of
(including) year four?
IN EXCEL WITH EXPLANATION PLEASE
Answer:
Therefore, the book value of the equipment at the end of year four (including year four) is $2,880.
Step-by-step explanation:
To calculate the book value of the equipment at the end of year four using the MACRS method with GDS recovery period of five years, we can use the following steps in Excel:
1. Open a new Excel spreadsheet and create the following headers in row 1: Year, Cost, Depreciation Rate, Annual Depreciation, Cumulative Depreciation, and Book Value.
2. Fill in the Year column with the years 1 through 6 (since the truck has a life of six years).
3. Enter the cost of the truck, $12,000, in cell B2.
4. Use the following formula in cell C2 to calculate the depreciation rate for each year:
=MACRS.VDB(B2, 5, 5, 1, C1)
This formula uses the MACRS.VDB function to calculate the depreciation rate for each year based on the cost of the truck (B2), the GDS recovery period of five years, the useful life of six years, the salvage value of $2,000, and the year (C1).
5. Copy the formula in cell C2 and paste it into cells C3 through C7 to calculate the depreciation rate for each year.
6. Use the following formula in cell D2 to calculate the annual depreciation for each year:
=B2*C2
This formula multiplies the cost of the truck (B2) by the depreciation rate for each year (C2) to get the annual depreciation.
7. Copy the formula in cell D2 and paste it into cells D3 through D7 to calculate the annual depreciation for each year.
8. Use the following formula in cell E2 to calculate the cumulative depreciation for each year:
=SUM(D$2:D2)
This formula adds up the annual depreciation for each year from D2 to the current row to get the cumulative depreciation.
9. Copy the formula in cell E2 and paste it into cells E3 through E7 to calculate the cumulative depreciation for each year.
10. Use the following formula in cell F2 to calculate the book value of the equipment for each year:
=B2-E2
This formula subtracts the cumulative depreciation for each year (E2) from the cost of the truck (B2) to get the book value.
11. Copy the formula in cell F2 and paste it into cells F3 through F7 to calculate the book value for each year.
12. The book value of the equipment at the end of year four (including year four) is the value in cell F5, which should be $2,880.
Dinner at a restaurant cost $55.00. The diners decide to leave a 20% tip. What is the cost of their total bill?
Answer:
66
Step-by-step explanation:
First find the cost of the tip
tip = 55 * 20%
= 55 * .20
= 11
The tip is 11 dollars
Add this to the bill
55+11 = 66
The total bill is 66 dollars
Answer:
Their cost would be $66.00
Step-by-step explanation:
The way i do it is i take ten percent of the total. Which is 55. 10% of 55 is 5.5. And since the diners decide to leave a 20% you multiply 5.5 by two and get 11. So that is an $11.00 tip they left.
So next you would add the $11.00 tip to the $55.00 and you would get a total cost of $66.00.
The diners total cost after they leave a 20% tip would be $66.00
One of the main criticisms of differential opportunity theory is that
a. it is class-oriented
b. it only identifies three types of gangs
c. it overlooks the fact that most delinquents become law-abiding adults
d. it ignores differential parental aspirations
The main criticism of differential opportunity theory is that it overlooks the fact that most delinquents become law-abiding adults (option c).
Differential opportunity theory, developed by Richard Cloward and Lloyd Ohlin, focuses on how individuals in disadvantaged communities may turn to criminal activities as a result of limited legitimate opportunities for success.
However, critics argue that the theory fails to account for the fact that many individuals who engage in delinquency during their youth go on to become law-abiding adults.
This criticism highlights the idea that delinquent behavior is not necessarily a lifelong pattern and that individuals can change their behavior and adopt prosocial lifestyles as they mature.
While differential opportunity theory provides insights into the relationship between limited opportunities and delinquency, it does not fully address the complexities of individual development and the potential for desistance from criminal behavior.
Critics suggest that factors such as personal growth, social support, rehabilitation programs, and the influence of life events play a significant role in individuals transitioning from delinquency to law-abiding adulthood.
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Probability of an uncertain outcome is a number between 0 and +1, exclusively. True False
True. Probability of an uncertain outcome is a number between 0 and +1, exclusively.
The probability of an uncertain outcome is a measure of the likelihood that the outcome will occur, and it is always a number between 0 and 1, inclusive. A probability of 0 means that the event is impossible, while a probability of 1 means that the event is certain. Probabilities between 0 and 1 indicate the degree of uncertainty about whether the event will occur or not.
Probabilities cannot be negative or greater than 1, as they represent a proportion of the total possible outcomes. If the probability of an event were negative or greater than 1, it would imply that the event is impossible or certain to occur, respectively, and violate the fundamental laws of probability theory.
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Write and solve an equation to answer the question. 9 is 12% of what number?
A popular magazine tests cars and trucks for mileage on the road and around the city. The magazine reports that the most common gas mileage was 24 mpg. Which statistic does this 24 represent
It shows that the values of the mileages are close to 24 mpg. Hence statistics refes 24 as the mean.
Mean of a data.Mean is one of the measure of dispersion and is the avearage of a set of data.
According to the question, the magazine reports that the most common gas mileage was 24 mpg. This shows that reports have published several gas mileages for cars and truck and the average of this mileage is 24mpg
It shows that the values of the mileages are close to 24 mpg. Hence statistics refes 24 as the mean.
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Michael owns a lawn care service. He charges each customer 30 + 12h dollars, where h represents the number of hours spent working on a lawn. What does each part of the expression represent? Drag the answer into the box to match each part of the expression. Put responses in the correct input to answer the question. Select a response, navigate to the desired input and insert the response. Responses can be selected and inserted using the space bar, enter key, left mouse button or touchpad. Responses can also be moved by dragging with a mouse. 30 12 12h
The $30 is a fixed cost while 12 is the cost for 1 hour in the expression 30+12h.
What is slope intercept form of line?The slope intercept form of a line is y=mx+b, where m is slope and b is the y intercept.
Given that Michael owns a lawn care service.
He charges each customer 30 + 12h dollars.
where h represents the number of hours spent working on a lawn.
We have to find what does each term in the expression describes.
Charge = 30 + 12h where h is per hour charge
Since if we put any value of h then 30 will be unaffected so it is a fixed cost that we can count as entry fees.
And if we put h as 1,2,3 then term 12h increases continuously so it represents the rate spent on the lawn.
Hence "The $30 is a fixed cost while 12 is the cost for 1 hour".
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Adult tickets to a football game costs $6 and student tickets cost $2. A total of $1776 was collected on tickets 372. How many adult tickets were sold?
Answer:
s = the number of student tickets sold a = the number of adult tickets sold The drama class sold 25 more student tickets than adult tickets to the fall play s = a + 25 The class collected $660 from ticket sales: 6s + 3a = 660 divide both sides by 3 2s + a = 220 by solving the system of equations s = a + 25 2s + a = 220 we find s = 81.67 student tickets a = 56.67 adult tickets
Step-by-step explanation:
ANSWER FAST PLEASSEEEEE
The information in the table shows the average weekly temperatures in degrees Fahrenheit of four cities.
Which city’s data set is bimodal?
A. City A
B. City B
C. City C
D. City D
Finding the mode of each data-set, the bimodal city's data is given by:
C. City C.
What is the mode of a data-set?It is the value that appears the most times in the data-set. If two values appear the same number of sets, the data-set is called bimodal.
Hence, looking at the table:
For City A, 10 appears three times, hence it is the only mode.For City B, 25 appears five times, hence it is the only mode.For City C, 42 and 66 each appear three times, hence they are the modes, and the data-set is bimodal.For City D, 78 appears three times, hence it is the only mode.Hence option C is correct.
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Find the equation of the line shown.
Answer:
y = x+1
Step-by-step explanation:
draw a table / write down ratios of the values of x and y. Then, you will notice the difference/ similarity
Answer:
y = x + 1
Step-by-step explanation:
equation of the line :
y = my + p ; m is the slope and p is the y-intercept.
The line cross the —axis at the point (0,1) then
p = 1
the line passes through (0,1) and (1,2) then
m = (2-1)/(1-0) = 1/1 = 1
conclusion:
y = x + 1
joe was asked to memorize a list of 200 vocabulary words, and he was assessed on his memorization of the words over 3 days. on day 1, he remembered all 200 words. on each of the next two days, joe remembered 10% fewer words than he did the preceding day. how many words did joe remember on day 3 ? a) 160 b) 162 c) 172 d) 180 in the xy-plane, the graph of the given equation is a circle. what is the length of the radius of this circle? a) 2 b) 6 c) 8 d) 36
For the first question, the answer is option C) 172. On day 1, Joe remembered all 200 words. On day 2, he remembered 10% fewer words than he did on day 1. This means he remembered 90% of the words he memorized on day 1.
90% of 200 is (90/100) x 200 = 180 words.
On day 3, Joe remembered 10% fewer words than he did on day 2. This means he remembered 90% of the words he memorized on day 2.
90% of 180 is (90/100) x 180 = 162 words.
Therefore, Joe remembered 162 words on day 3. So, the answer is option B.
For the second question, we don't have the given equation for the circle. Without the equation, we can't determine the length of the radius. So, we can't provide a long answer or a main answer.
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The graph represents the system of inequalities shown below. Determine whether the statement that follows the
graph is true or false.
y greater than or equal to 6
5x+3y ≤ 15
f(x,y) - 12x+3y
Assuming that x ≥ 0 and y ≥ 0, the situation is infeasible: True.
What are the rules for writing an inequality?In Mathematics, these rules are generally used for writing and interpreting an inequality or system of inequalities that are plotted on a coordinate plane:
The line on a graph is a solid line when the inequality symbol is (≥ or ≤).The inequality symbol is greater than or equal to (≥) when a solid line is shaded above.The inequality symbol is less than or equal to (≤) when a solid line is shaded below.In this context, we can logically deduce that the given system of inequalities 5x+3y ≤ 15 and y ≥ 6 would not have a feasible solution set if they are subjected to x ≥ 0 and y ≥ 0:
Assuming the ordered pair (1, 2), we have:
y ≥ 6
2 ≥ 6 (False).
5x+3y ≤ 15
5(1) +3(2) ≤ 15
5 + 6 ≤ 15
11 ≤ 15 (True).
Therefore, it is not a feasible solution.
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Missing information:
The question is incomplete and the complete question is shown in the attached picture.
3. If A = {2, 4, 6, 8}, B = {1, 3, 5, 7), find A UB.
A U B={ 1,2,3,4,5,6,7,8}
Solution,
A={2,4,6,8}
B={1,3,5,7}
A U B={ 2,4,6,8} U{1,3,5,7}
={1,2,3,4,5,6,7,8}
Hope it helps
Good luck on your assignment
Solve the following inequality. Write the answer in interval notation.
1/∣x−5∣ ≥ 1
The solution to the inequality 1/|x - 5| ≥ 1 in interval notation is [6, ∞).
To solve the inequality 1/|x - 5| ≥ 1, we can start by considering the two cases: |x - 5| > 0 and |x - 5| < 0.
Case 1: |x - 5| > 0 (when the denominator is positive)
In this case, we can multiply both sides of the inequality by |x - 5| to eliminate the absolute value:
1 ≥ |x - 5|
This simplifies to:
1 ≥ x - 5 and 1 ≥ -(x - 5)
Solving each equation separately:
1 + 5 ≥ x and 1 ≥ -x + 5
6 ≥ x and -4 ≥ -x
From the second inequality, we can multiply both sides by -1 to change the direction of the inequality:
4 ≤ x
So, in this case, the solution is x ≥ 6.
Case 2: |x - 5| < 0 (when the denominator is negative)
This case is not possible because the absolute value of any real number is always non-negative.
Combining the solutions from both cases, we have x ≥ 6.
Therefore, the solution to the inequality 1/|x - 5| ≥ 1 in interval notation is [6, ∞).
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What is -3 = z - 8 (solve the equation, check the solution)
Answer:
z=5 :)
Step-by-step explanation:
Choose two statements that are true fo of this expression. 5x^3- 6x^2 - 25/y + 18
Answer:
5x^3- 6x^2 - 25/y + 18 / y
Step-by-step explanation:
It would be that expression over y.
Sorry if its wrong I'm still learning too:)
Answer:
The answers are
*There are four terms.
*The term -25/y is a ratio.
Step-by-step explanation:
Use the SIN to find x?
190m
Xm
1. Set Up
2. Operation
3. Answer
52.2
Answer:
sine=opposite/hypotenuse
sin52.2=x/150
sin0.790=x/150
x=118.5